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The analogy between acoustic modes in nonlinear metamaterials and quantum computing platforms constituted of correlated twolevel systems opens new frontiers in information science. We use an inductive procedure to demonstrate scalable initialization of and scalable unitary transformations on superpositions of states of multiple correlated logical phibits, classical nonlinear acoustic analog of qubits. A multiple phibit state representation as a complex vector in a highdimensional, exponentially scaling Hilbert space is shown to correspond with the state of logical phibits represented in a lowdimensional linearly scaling physical space of an externally driven acoustic metamaterial. Manipulation of the phibits in the physical space enables the implementation of a nontrivial multiple phibit unitary transformation that scales exponentially. This scalable transformation operates in parallel on the components of the multiple phibit complex state vector, requiring only a single physical action on the metamaterial. This work demonstrates that acoustic metamaterials offer a viable path toward achieving massively parallel information processing capabilities that can challenge current quantum computing paradigms.more » « lessFree, publiclyaccessible full text available February 5, 2025

It is shown that multiple logical phibit largescale unitary operations analogous to quantum circuits can be realized by design. Logical phibits are nonlinear acoustic analogues of qubits which arise when elastic waveguides are coupled and driven at multiple frequencies in the presence of nonlinearities. The contribution presents an approach that maps both the state of multiple phibits in their supporting nonlinear acoustic metastructure and their representations as complex state vectors in exponentially scaling Hilbert spaces. Upon physically actuating π changes in phibit phases and by engineering appropriate multiple phibits representations, one can realize a scalable phibitbased quantum Fourier transform.more » « lessFree, publiclyaccessible full text available December 24, 2024

Abstract Using experiments and theory, we investigate the behavior of nonlinear acoustic modes in a physical system composed of an array of three coupled acoustic waveguides, two of which are externally driven with two different frequencies. Nonlinear modes with frequency given by linear combinations of the driving frequencies are realizations of socalled logical phibits. A phibit is a twostate degree of freedom of an acoustic wave, which can be in a coherent superposition of states with complex amplitude coefficients, i.e., a qubit analogue. We demonstrate experimentally that phibit modes are supported in the array of waveguides. Using perturbation theory, we show that phibits may result from the intrinsic nonlinearity of the material used to couple the waveguides. We have also isolated possible effects on phibit states associated with the systems’ electronics, transducers and ultrasonic coupling agents used to probe the array and that may introduce extrinsic nonlinearities. These extrinsic effects are shown to be easily separable from the intrinsic behavior. The intrinsic behavior includes sharp jumps in phibit phases occurring over very narrow ranges of driving frequency. These jumps may also exhibit hysteretic behavior dependent on the direction of driving frequency tuning. The intrinsic states of phibits and multiple nonlinearly correlated phibits may serve as foundation for robust and practical quantumanalogue information technologies.more » « lessFree, publiclyaccessible full text available December 1, 2024

Logical phibits are nonlinear acoustic modes analogous to qubits and supported by an externally driven acoustic metastructure. A correspondence is established between the state of three correlated logical phibits represented in a lowdimensional linearly scaling physical space and their state representation as a complex vector in a highdimensional exponentially scaling Hilbert space. We show the experimental implementation of a nontrivial three phibit unitary operation analogous to a quantum circuit. This three phibit gate operates in parallel on the components of the three phibit complex state vector. While this operation would be challenging to perform in one step on a quantum computer, by comparison, ours requires only a single physical action on the metastructure.more » « less

Abstract We present a model of an externally driven acoustic metamaterial constituted of a nonlinear parallel array of coupled acoustic waveguides that supports logical phibits, classical analogues of quantum bits (qubit). Descriptions of correlated multiple phibit systems emphasize the importance of representations of phibit and multiple phibit vector states within the context of their corresponding Hilbert space. Experimental data are used to demonstrate the realization of the single phibit Hadamard gate and the phase shift gate. A three phibit system is also used to illustrate the development of multiple phibit gates as well as a simple quantumlike algorithm. These demonstrations set the stage for the implementation of a digital quantum analogue computing platform based on acoustic metamaterial that can implement quantumlike gates and may offer promise as an efficient platform for the simulation of materials.more » « less

Abstract We present an approach for compressing volumetric scalar fields using implicit neural representations. Our approach represents a scalar field as a learned function, wherein a neural network maps a point in the domain to an output scalar value. By setting the number of weights of the neural network to be smaller than the input size, we achieve compressed representations of scalar fields, thus framing compression as a type of function approximation. Combined with carefully quantizing network weights, we show that this approach yields highly compact representations that outperform state‐of‐the‐art volume compression approaches. The conceptual simplicity of our approach enables a number of benefits, such as support for time‐varying scalar fields, optimizing to preserve spatial gradients, and random‐access field evaluation. We study the impact of network design choices on compression performance, highlighting how simple network architectures are effective for a broad range of volumes.